Evaluate the limit of \lim_{x \rightarrow 2} \left ( \frac{x}{x - 3} - \frac{9}{x^{2} - 3 x} \right )

Solve lim_x goes to 2 ( fracxx - 3 - frac9x^{2 - 3 x} )

Evaluate

x \to 2 lim (\frac{x}{x - 3} - \frac{9}{x ^{2} - 3 x})

Rewrite the expression

x \to 2 lim (\frac{x}{x - 3}) + x \to 2 lim (- \frac{9}{x ^{2} - 3 x})

Calculate

More Steps

- 2 + x \to 2 lim (- \frac{9}{x ^{2} - 3 x})

Calculate

More Steps

- 2 + \frac{9}{2}

Solution

\frac{5}{2}

Alternative Form

2 \frac{1}{2}

Alternative Form

2.5